103903572960 has 1152 divisors, whose sum is σ = 439378587648. Its totient is φ = 22892544000.

The previous prime is 103903572917. The next prime is 103903573027. The reversal of 103903572960 is 69275309301.

103903572960 is a `hidden beast` number, since 1 + 0 + 3 + 9 + 0 + 357 + 296 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 225387130 + ... + 225387590.

It is an arithmetic number, because the mean of its divisors is an integer number (381405024).

Almost surely, 2^103903572960 is an apocalyptic number.

103903572960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103903572960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219689293824).

103903572960 is an abundant number, since it is smaller than the sum of its proper divisors (335475014688).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

103903572960 is a wasteful number, since it uses less digits than its factorization.

103903572960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 550 (or 530 counting only the distinct ones).

The product of its (nonzero) digits is 306180, while the sum is 45.

The spelling of 103903572960 in words is "one hundred three billion, nine hundred three million, five hundred seventy-two thousand, nine hundred sixty".